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12169370688 = 263296533347
BaseRepresentation
bin10110101010101100…
…11101110001000000
31011102002211002020220
423111112131301000
5144410324330223
65331315503040
7610365641556
oct132526356100
934362732226
1012169370688
115185324352
1224375b7a80
1311bc286577
14836309bd6
154b35796e3
hex2d559dc40

12169370688 has 112 divisors (see below), whose sum is σ = 33369382080. Its totient is φ = 3909412864.

The previous prime is 12169370683. The next prime is 12169370701. The reversal of 12169370688 is 88607396121.

It is a self number, because there is not a number n which added to its sum of digits gives 12169370688.

It is not an unprimeable number, because it can be changed into a prime (12169370683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3634231 + ... + 3637577.

Almost surely, 212169370688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12169370688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16684691040).

12169370688 is an abundant number, since it is smaller than the sum of its proper divisors (21200011392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12169370688 is a wasteful number, since it uses less digits than its factorization.

12169370688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 12169370688 in words is "twelve billion, one hundred sixty-nine million, three hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 653 696 928 1306 1392 1856 1959 2612 2784 3347 3918 5224 5568 6694 7836 10041 10448 13388 15672 18937 20082 20896 26776 31344 37874 40164 41792 53552 56811 62688 75748 80328 97063 107104 113622 125376 151496 160656 194126 214208 227244 291189 302992 321312 388252 454488 582378 605984 642624 776504 908976 1164756 1211968 1553008 1817952 2185591 2329512 3106016 3635904 4371182 4659024 6212032 6556773 8742364 9318048 13113546 17484728 18636096 26227092 34969456 52454184 63382139 69938912 104908368 126764278 139877824 190146417 209816736 253528556 380292834 419633472 507057112 760585668 1014114224 1521171336 2028228448 3042342672 4056456896 6084685344 12169370688